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Abelian theorems

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Abelian theorems [ə′bēl·yən ′thir·əmz]
(mathematics)
A class of theorems which assert that if a sequence or function behaves regularly, then some average of the sequence or function behaves regularly; examples include the Abel theorem (second definition) and the statement that if a sequence converges tos, then its Cesaro summation exists and is equal tos.


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